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Finding the Fourth Proportional to 819.96, 1,231.08 and 657.12

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Solution

The fourth proportional to 819.96, 1,231.08 and 657.12 is: 986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.96 : 1,231.08 = 657.12 : x
  2. Step 2: Convert to fraction form
    819.96/1,231.08 = 657.12/x
  3. Step 3: Cross multiply
    819.96x = 1,231.08 × 657.12
  4. Step 4: Simplify right side
    819.96x = 808,967.29
  5. Step 5: Solve for x
    x = 808,967.29/819.96
  6. Step 6: Final answer
    x = 986.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.